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Finding the Fourth Proportional to 10,420.04, 14,379.64 and 5,704.32

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Solution

The fourth proportional to 10,420.04, 14,379.64 and 5,704.32 is: 7,871.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.04 : 14,379.64 = 5,704.32 : x
  2. Step 2: Convert to fraction form
    10,420.04/14,379.64 = 5,704.32/x
  3. Step 3: Cross multiply
    10,420.04x = 14,379.64 × 5,704.32
  4. Step 4: Simplify right side
    10,420.04x = 82,026,068.04
  5. Step 5: Solve for x
    x = 82,026,068.04/10,420.04
  6. Step 6: Final answer
    x = 7,871.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.